Ivan Shishkin, Rye (1878)

Problems/Arithmetic

Arithmétique 2026

by Dattier·
50
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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ReviewedReviewed by quark67
·
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Soient A2:=22026A_{2}:=2^{2026}, A3:=32026A_{3}:=3^{2026} et A5:=52026A_{5}:=5^{2026}.

Trouver tous les (n,m)∈N×N⩾2(n,m) \in \mathbb N \times \mathbb N_{\geqslant 2} tels que
∀i∈{2,3,5},Ai≡nmod  m.\forall i \in \{2,3,5\},A_{i} \equiv n\mod m.

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References

  1. exclus Math Woods des dattes à Dattier
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